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Vectors cross product

  1. Mar 5, 2015 #1
    1. The problem statement, all variables and given/known data

    Find the set of points of M such that:
    AM x BC=AM x AC (Vectors)



    3. The attempt at a solution
    AM x (BM+MC) =AMx(AM+MC)
    AMxBM+AMxMC=AMxAM +AM x MC
    Then AMxBM=0
    MA X MB=0

    I am new to this lesson and this is my first time i solve such a question and i had no idea how to solve it but i tried my best please some help give me some hints, Thank you.
     
    Last edited by a moderator: Mar 5, 2015
  2. jcsd
  3. Mar 5, 2015 #2

    SammyS

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    If AM × BM = 0 , then how is AM oriented relative to BM ?
     
  4. Mar 5, 2015 #3
    Right-handed
     
  5. Mar 5, 2015 #4

    SammyS

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    Do you mean that they form a right angle?

    Yes, they do.

    Look at two fixed points, A and B, in a plane. Consider where point M can lie, if vector, AMBM . Now consider all such locations point M can occupy.
     
  6. Mar 5, 2015 #5
    Thanks for the help.
     
  7. Mar 5, 2015 #6

    SammyS

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    To be sure that you fully understand:

    What is your final conclusion regarding the set of points on which point M can lie?
     
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